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Finding the Third Proportional to 109,362 and 227,449

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Solution

The third proportional to 109,362 and 227,449 is: 473,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,362 : 227,449 = 227,449 : x
  2. Step 2: Convert to fraction form
    109,362/227,449 = 227,449/x
  3. Step 3: Cross multiply
    109,362x = 227,449 × 227,449
  4. Step 4: Simplify right side
    109,362x = 51,733,047,601
  5. Step 5: Solve for x
    x = 51,733,047,601/109,362
  6. Step 6: Final answer
    x = 473,044.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.